In circle A as shown below, segment DC is tangent to circle A at D. Also, DC = 4 and BC = 2. A C Find the length of the radius of circle A. 4,

Q: AC is tangent to circle O at point C. What is the length of AC? units 8.

A: Tangent of circle is always perpendicular to the radius so form the right triangle and use…

Q: AB and AC are tangent to circle O at B and C respectively. If the circle’s radius is 2 and AB has a…

A: AB=AC=9 So option ( B) is correct. If we draw two tangent lines from same point then tangent lines…

Q: . Given segment EB is tangent to circle A at point B. Find the distance from E to Aif the radius of…

A: The radius of the circle is AB=10. The length of the tangent is EB=5. The objective is to find the…

Q: A. Solve. In circle O, PA and PB are tangent segments from point P. 00 P. В 1. If OA=6 cm and PA=8…

A:

Q: Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note:…

A: It is given that, Segment AB and BC both are segments of the circle as shown in the figure.

Q: If e = 7t/9 is a central angle that cuts off an arc length of T centimeters, find the radius r of…

A:

Q: In circle O, PA and PB are tangent segments from point P. B 1. If OA=6 cm and PA=8 cm, find OP. 2.…

A: Given

Q: If all segments shown are tangent to circle A, find EF. 21 4 ft, D. 9ft

A: Sol. Value of side EF=7ft

Q: In Circle O, AOC Is a diameter, ADB is a secant, and BC is a tangent. If the measure of arc DC is 3…

A:

Q: In the figure above, three circles are tangent to each other at points A, B and C, as shown. If the…

A: topic - length of arc of circle option C 3π

Q: In circle O, AB = 7.75, OB = 4, and AO = 8.75. Is segment AB a tangent to the circle? A B (The…

A: To write that AB is a tangent or not

Q: In circle A as shown below, segment DC is tangent to circle A at D. Also, DC = 4 and BC = 2. А D.…

A: By using circle property and Pythagoras theorem, we calculate the radius of a circle.

Q: 2 D Segments AB and BC are both tangent to circle D. If ZADC has a measure of 132°, find mZABC.

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Q: 4.) Which of the following illustrates circle H with radius segment C H and diameter segment CA ?

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Q: In the figure below, the radius of circle O is 3 centimeters. 60° O 3 cm What is the length of the…

A: The formula for arc , Angle = arc / radius

Q: AC is tangent to circle O at A. If mBY = 24 what is MYAC? (The figure is not drawn to scale.) A a 48…

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Q: In the figure below, point O is the center of the circle, line segments LM and MN are tangent to the…

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Q: In the diagram below of circle K, secant PLKE and tangent PZ are drawn from external point P. P K E…

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Q: q = 3pi/4

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Q: Assume D, E, and F are tangent to Circle O. Find the perimeter of the triangle. 3 4 A 10

A: Given from the given figure

Q: Based on the measures provided in the diagram, determine if AB is tangent to the circle with center…

A: Given :from the figure,AB=14 unitCA=8 unitCB=16 unitTo check:AB¯ is tangent to the circle with…

Q: If all segments shown are tangent to circle A, find the perimeter of triangle DFE. 4 ft D F 9ft E.

A: Consider the triangle DFE

Q: 1. In the figure, if PA and PB are tangent to the circle, find angle AOB. P. |48° A

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Q: 4х — 1 •C 2x +9

A: When two tangents drawn from an same external point to the circle , then they have same length.

Q: In Circle O, AOC is a diameter, ADB BC is a tangent. If the measure of arc DC is 3 less than twice…

A: Let the arc AD subtends by an angle θ and the arc DC subtends by an angle 180°-θ as sum of angles on…

Q: BC is a common tangent segment of circles A and D. E. E 9. If AB= 6 cm, DC = 3 cm, and AD =12 cm,…

A: 9) Given:           AB=6 cmDC=3cmAD=12cmLet: ED=x cmSo, AE=AD-ED=12-x cm BC is tangent to both…

Q: In the figure below, the segments AB and AC are tangent to the circle centered at O. Given that…

A: In the given figure the segments AB and AC are tangent to the circle. We have to find the AC

Q: In the figure below, line segment AB is tangent to circle O at point A, secant BD intersects circle…

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Q: AB is tangent to Circle O. If AO = 24 and BC = 50, what is AB? 6. A

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Q: In the circle shown, AD is a tangent and AC is a secant. If AB = 6 and BC = 18, what is the length…

A:

Q: In circle A, BC is tangent to the circle. А C. 3. If the distance of point C from the center of the…

A: Given

Q: Line PQ is tangent to circle C at point P. Segment PQ is 11.9 units long and angle PQC is 40…

A:

Q: Find the radius r of the circle if an arc of length 15 m on thecircle subtends a central angle of…

A: Let the radius of the circle is r. It is given that the length of the arc is 15m The central angle…

Q: 4. Given circle C, segment AD is tangent to circle C at D. Also, AD = 12 and BA = 8. Find the length…

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Q: 10. In circle A as shown below, segment DC is tangent to circle A at D. Also, DC= 4 and BC= 2. A B.…

A:

Q: In the figure below, point O is the center of the circle, line segments LM and MN are tangent to the…

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Q: Secants AC and DC intersect the circle at B and E, respectively. If AB = 13, BC = 5, and CD = 15.…

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Q: In the circle below, segment AB is a diameter. If the length of arc ACB is 6n : what is the length…

A: Given that AB is the diameter of the circle .The length of arc ABC⏜ is 6π. We have to evaluate the…

Q: Q AC is tangent to circle O at point C. 23° What is the measure of ZAOC? degrees

A: Given that  AC is tangent to the circle.  Angle OAC = 23°

Q: In circle O, segments AC and BC are tangents. Find the measure of arc ATB and mzC. 110 B.

A: Given: In circle with center O, AC and BD are tangents. mAB^=110°

Q: 9. Lines AE and BD are tangent to circles O and P at A, E, B, and D, as shown in the diagram below.…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 10. In the diagram of circle 0 below, BA and BC are tangent to circle O at points A and B,…

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Q: In the accompanying diagram, PA is tangent to circle O and PBC is a secant. If PA = 4 and BC = 6,…

A: 3) Here we have to find AD=?  Let DC=x

Q: 5. In the diagram below, line segment TM is tangent to the circle with centre at S. What is the…

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Q: 1. In the circle to the left, point A is the center and the length of arc BC is of the circumference…

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Q: In circle Q AOC is a diametr ADB is a secant and BC is a tangent. If the measure of arc DC is 3 less…

A:

Q: In circle Q is a diameter ADB is a secant and BC is a tangent. If the measure of DC is 3 less than…

A: AOC is the diameter Let arc AD= x , and arc DC= y Construction- Join OD

Q: In the circle below, segment AB is a diameter If the lenrth of arc ACH is 6, what is the length of…

A: As we know the formula for arc length of circle is given by  Arc length = 2πr (θ/360)    where θ is…

Q: A In the figure above, three circles are tangent to each other at points A, B and C, as shown. If…

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Q: A B

A: Given that  Secants AC and DC intersect the circle at B and respectively  If AB = 13 , BC = 5 and CD…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.